An expansion for four-center integrals over Slater-type orbitals
✍ Scribed by Lydia S. Salmons; Klaus Ruedenberg
- Publisher
- John Wiley and Sons
- Year
- 1972
- Tongue
- English
- Weight
- 450 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Formulas can be automatically generated for all two‐center Coulomb integrals over Slater‐type orbitals by means of the “__C__‐matrix” single‐center expansion method with use of “computer algebra.” The formula coefficients may be stored in two‐dimensional arrays.
A simple method for the rppro.ximation of three-center nuclear attraction integrals is given. In (x,ll/r,lx$ the point charge is expanded aroung the center 6. For the terms of the expansion in the potential a suitable appro.xbnation is used such that the integral is reduced to overlap-type integrals
## Abstract Exact computer‐generated formulas can be produced for each term of an infinite series that gives the value of three‐center Coulomb integrals over Slater‐type orbitals of the __s__‐type with equal screening constants. As a specific example, the Coulomb energy of an equilateral triangular
## Abstract The four‐center nonplanar electron repulsion integrals over 1__s__ Slater‐type atomic orbitals are considered by a numerical Fourier‐transform method. It is shown that the highly oscillating integrand appearing in the Fourier inversion formula could be successfully treated by using Tche